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Finding the Third Proportional to 62,842 and 87,905

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Solution

The third proportional to 62,842 and 87,905 is: 122,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,842 : 87,905 = 87,905 : x
  2. Step 2: Convert to fraction form
    62,842/87,905 = 87,905/x
  3. Step 3: Cross multiply
    62,842x = 87,905 × 87,905
  4. Step 4: Simplify right side
    62,842x = 7,727,289,025
  5. Step 5: Solve for x
    x = 7,727,289,025/62,842
  6. Step 6: Final answer
    x = 122,963.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.